Piero della Francesca was an Italian artist of the Early Renaissance.
To contemporaries he was known as a mathematician and geometer as well as
an artist, though he now chiefly appreciated for his art. His painting was
characterized by its serene humanism and its use of geometric form,
particularly in relation to perspective and foreshortening.
Piero was born probably in Borgo San Sepolcro, Tuscany, c. 1420 and died
there October 12, 1492. Most of his work was performed in the Tuscan town
of Arezzo. He may have learned his trade from one of several Sienese
artists working in San Sepolcro during his youth. By 1439 Piero was
working with Domenico Veneziano on frescoes for the hospital of Santa
Maria Nuova in Florence. He also worked in Rimini, Ferrara, and Rome. In
Ferrara, his influence is particularly strong in the allegorical works of
Cosimo Tura. Among his disciples is Melozzo da Forlì.

His deep interest in the theoretical study of perspective and his
contemplative approach to his paintings are apparent in all his work,
including the panels of the S. Agostino altarpiece. Among other
mathematical writing, later in life he wrote a treatise, De prospectiva
pingendi, on the rules of mathematical foreshortening applied to any
object, be it a cube or human head.
Enigma of the Canvas depicting The Flagellation of Christ (c1460)
As discussed in its own entry, The Flagellation (Piero della Francesca)
illustrates the air of geometric sobriety, in addition to presenting a
perplexing enigma as to the nature of the three men at right forefront...
Frescoes for the Church of San Francesco, Arezzo (c1466)
While the unfinished facade of the indistinct church of San Francesco in
the small Tuscan town of Arezzo seems an unlikely place for a masterpiece
of early Renaissance; the frescoes by Piero in this church (restoration
finished in 2001 after 15 years of detailed work) are a stunning
achievement of Quattrocento painting. As noted by Sir Kenneth Clark, we
have now reached the center of Piero's career which, ever since they were
painted, have been considered his chief claim to immortality. The story in
these frescoes revolves around published medieval legends as to how timber
relics of the "true cross" (Leggenda della Vera Croce) came to
be found. These stories were collected in the "Legenda Aurea" of
Jacopo da Varazze (Jacopo da Voragine) written in mid 13th century.
Piero's dramatic sense is often expressed with such restraint that we may
overlook it in our admiration for his design. [1]
1. Death of Adam (390 x 747 cm)- the legend claims the tree from which the
cross was made was planted, at the urging of angels, at the burial of Adam
by his son, using a branch or a seed from the apple tree of the garden of
Eden.
2. The Queen of Sheba in adoration of the Wood and the Meeting of Solomon
and the Queen of Sheba (336 x 747 cm)- the legend holds that Sheba
worshiped the beams made from the tree, and informed Solomon, that the
Saviour would hang from that tree, and thus dismember the realm of the
Jews. This caused Solomon to hew it down and bury it, till it was found by
the Romans.
Exaltation of the Cross (390 x 747 cm)
3. Constantine's Dream (329 x 190 cm)- Constantine before a battle is
awakened by an angel who shows him the cross in heaven. With the cross on
his shield, he slew the enemy, and later converted to Christianity.
4. Discovery and Proof of the True Cross (356 x 747 cm)- Helena, his
mother finds the cross in Jerusalem. It was not easy to get information
and "when the queen had called them and demanded them the place where
our Lord Jesus Christ had been crucified, they would never tell... her.
Then commanded she to burn them all" or cast them into a dry pit for
seven days and there torment them with hunger. He is shown in one fresco
being pulled from the pit by a rope, whereupon he confessed that Jesus was
his lord and where the cross was located. The proof of the cross was that
it was used to resurrect a dead men.
5. Battle between Heraclius and Chosroes (329 x 747 cm)- Finally the cross
played a role in battles during the crusades.
The paintings have a sparse, often surrealist landscape- the pictorial
equivalent of silence. To the modern eye, Piero's paintings show a subdued
emotion, where rational theory appears to have overwhelmed naturalism. In
the "battle" fresco, impassive faces dampen the action.
Furthermore, when one contrasts these figures with the decorated byzantine
iconography still prevalent in many contemporary Italian artists, the
paucity here becomes more incisive. Most figures are in proportion. [2].
Others have pointed out the combative Christianity which these frescoes
support.
Piero’s work in mathematics and geometry
Three treatises written by Piero are known to modern mathematicians:
Abacus Treatise (Trattato d'Abaco), Short Book on the Five Regular Solids
(Libellus de Quinque Corporibus Regularibus) and On Perspective for
Painting (De Prospectiva Pingendi). The subjects covered in these writings
include arithmetic, algebra, geometry and innovative work in both solid
geometry and perspective. Much of Piero’s work was later absorbed into
the writing of others, notably Luca da Pacioli. Piero’s work on solid
geometry appears in Pacioli’s De Divina Proportione, a work illustrated
by Leonardo da Vinci.
Anthology of works
the Madonna della Misericordia (c.1445)
The Flagellation (c.1460)
Montefeltro Altarpiece (1465)and paired portraits of Federico da
Montefeltro and Battista Sforza, the Duke and Duchess of Urbino (c.1472)
and of Sigismondo Pandolfo Malatesta. His portraits in profile take their
inspiration from Roman coins.
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It uses material from the Wikipedia
article "Italian Renaissance".